Alberto Damiano - Publications and Contributions to Mathematics <BACK TO MY HOMEPAGE>
| CURRICULUM | PAPERS | COMPUTER ALGEBRA | CONFERENCES | THESES |
CURRICULUM VITAE Download it here in [PDF] format
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A. Damiano, Arch. Math. 42 (2007) suppl. 197--211 |
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Algebraic analysis of the Rarita-Schwinger operator in dimension three |
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F. Colombo, A. Damiano, I. Sabadini, D.C. Struppa, J. Geom. An. (2007) no 3 |
Quaternionic hyperfunctions on 5-dimensional varieties in H2 |
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A. Damiano, I. Sabadini, D.C. Struppa, Exp. Math. (2007)
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Computational methods for the construction of a class of Noetherian operators |
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J. Bure, A. Damiano, I. Sabadini, J. Geom. Phys 57 (2007), no. 3, 765--775 |
Explicit resolution for the complex of several Fueter operators |
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F. Colombo, A. Damiano, Houston J. of Math. 32 (2006), 895--920
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Identification of the memory kernel and the heat source for a phase-field model
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A. Damiano, I. Sabadini, D.C. Struppa, Complex Var. Elliptic Equ. 51 (2006), no. 5-6, 497--510.
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New algebraic properties of biregular functions in 2n quaternionic variables
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F. Colombo, A. Damiano, I. Sabadini, D.C. Struppa, Complex Var.Theory Appl. 50 (2005), no. 6, 389--400 |
A surjectivity theorem for differential operators on spaces of regular functions |
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| F. Colombo, A. Damiano, I. Sabadini, D.C. Struppa, to appear in proceedings ISAAC 2005 |
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A new Dolbeault complex in quaternionic and Clifford analysis |
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A. Damiano, to appear on Adv. Appl. Cliff. Alg (2007) |
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Syzygies of multi-variable higher spin operators in R3 |
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A. Damiano, M. Mannucci, L. Sparks, D.C. Struppa, preprint |
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A combinatorial point of view on social structures and human aggregation
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| A. Damiano, V. Souček, in preparation | A combinatorial formula coming from BGG sequences | |
| A. Damiano, V. Souček, in preparation | First order SL(n)-invariant operators: an algorithm | |
| A. Damiano, V. Souček, in preparation | Symmetries of the Dirac complex in several variables | |
| A. Damiano, I. Sabadini, V. Souček | An invariant resolution for the Dirac operator in several variables | |
| A. Damiano, D. Eelbode, I. Sabadini, preprint |
Invariant Syzygies for the Hermitian Dirac
Operator
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| A. Damiano, D. Eelbode, preprint | Hermitian generalization of the Rarita-Schwinger operators | |
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** L. Kershberg, A. Damiano, S. Mitchell, S. Smith, M. Chowdry, H. Jeong. SSDBM 2004, Santorini (Greece), Proceedings. |
Knowledge Sifter, an ontology driven system search for heterogeneous databases |
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** S. A. Mitchell, S. Smith, A. Damiano, J. Durgavich, R. MacCracken. Proceedings of the SAE Motorsports Conference 2004 (Dearborn, MI)
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Use of genetic algorithms with multiple metrics aimed at the optimization of automotive suspension systems |
** = not strictly mathematics publications.
Contributions to Computer Algebra
| FILE | DESCRIPTION | YEAR |
| ext.cpkg |
CoCoA package for the computation of the Ext modules, included in CoCoA starting from version 4.4 NEWS 2005: the package now contains an implementation of the minimal presentation of EXT
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2001 |
| coala.cpkg |
CoCoA package for the applications
of commutative algebra to the algebraic analysis of linear constant
coefficient systems of partial differential equations, not distributed with
CoCoA
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2005 |
| operators.cpkg | CoCoA package for the applications of commutative algebra to the representation theory of SL(n) and GL(n), and for the calculation of the Dirac complex in several vector variables | 2007 |
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Conferences and Seminars
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WHEN |
MEETING NAME | FILE | TOPIC PRESENTED | WHERE | |
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April 2003 |
East Coast Computer Algebra Day |
(poster) |
Algebraic Analysis topics |
Clemson, NC, USA |
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June 2003 |
CoCoA VIII international school and conference |
(poster) |
Algebraic Analysis topics |
Cadiz, Spain |
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May 2004 |
GMU Conference in honor of Carlos Berensteins Birthday |
NA |
Noetherian operators |
Fairfax, VA, USA |
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June 2004 |
SSDBM 2004 |
(poster) |
Knowledge Sifter |
Santorini, Greece |
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September 2004 |
Computer Algebra and Applications, school and conference | Noetherian operators |
Politecninco di Torino, Italy |
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November 2004 |
Mid Atlantic Algebra Conference, GMU | SLIDES | Noetherian operators | Fairfax, VA, USA |
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November 2004 |
Algebra and Combinatorics seminar, GMU | Noetherian operators |
Fairfax, VA, USA |
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May 2005 |
CoCoA 2005 international school |
(poster) |
Biregular functions |
Alghero, Italy |
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May/June 2005 |
MEGA, Effective Methods in Algebraic Geometry | Megaforms |
Alghero, Italy |
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June 2005 |
Symbolic computation seminar at RICAM | (board) | Algebraic Analysis | Linz, Austria |
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July 2005 |
ISAAC 2005 section on Dirac operators and applications | Biregular functions |
Catania, Italy |
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October 2005 |
Differential Geometry seminar, Charles University |
(board) |
Algebraic Analysis topics |
Prague, Czech Republic |
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October 2005 |
Central European Seminar, Masaryk University | (board) | Biregular functions | Brno, Czech Republic |
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November 2005 |
Eduard Čech Center meeting | (board) | Rarita-Schwinger operator | Telč, Czech republic |
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January 2006 |
Winter School Geometry and Physics | SLIDES | Rarita-Schwinger operator | Srnν, Czech Republic |
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March 2006 |
Visiting Irene Sabadini at Politecnico di Milano | NA | Hilbert series for Dirac operator | Milan, Italy |
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March 2006 |
Central European Seminar, Masaryk University | (board) | ?Invariant? Groebner Bases | Brno, Czech Republic |
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May 2006 |
Visiting Franco Magri at Milano Bicocca | SLIDES | Algebraic Analysis topics | Milan, Italy |
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June 2006 |
Function Theory in Higher Dimensions,. Tampere U. Tech. | SLIDES | Higher-spin Dirac operators | Tampere, Finland |
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July 2006 |
ISSAC 2006, University of Genova | NA | Groebner Bases | Genova, Italy |
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November 2006 |
Eduard Čech Center meeting | SLIDES | Invariant Dirac syzygies | Telč, Czech Republic |
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January 2007 |
Winter School Geometry and Physics | SLIDES | Dirac syzygies in 3 variables | Srnν, Czech Republic |
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February 2007 |
Mathematics seminar, Chapman University | (board) | Invariant Dirac syzygies | Orange, CA, USA |
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March 2007 |
Visiting I. Sabadini at Politecnico di Milano, with D. Eelbode | NA | Hermitian Dirac operators | Milan, Italy |
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May 2007 |
Central European Seminar, Masaryk University | (board) | SL(n)-invariant operators | Brno, Czech Republic |
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June 2007 |
CoCoA 2007 international school | (poster) | Young Tableaux and Dirac ops | Hagenberg, Austria |
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| CURRICULUM | PAPERS | COMPUTER ALGEBRA | CONFERENCES | THESES |